Geodesic
Research of the group of bijective differentiable modulo $p^n$ functions
Prikladnaya Diskretnaya Matematika. Supplement, no. 8 (2015), pp. 27-30

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The group of bijective differentiable modulo $p^n$ functions is researched up to isomorphism. A method of searching for conjugation element in this group is proposed. The method consists in solving a system of linear equations over $\mathbb Z_p$. A technique for generating transitive functions via conjugating the function $f(x)=x+1$ by the bijective differentiable modulo $p^n$ functions is described.
Keywords: differentiable modulo $p^n$ functions, transitive functions, bijective functions
Mots-clés : conjugation. 
@article{PDMA_2015_8_a9,
     author = {A. S. Ivachev},
     title = {Research of the group of bijective differentiable modulo $p^n$ functions},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {27--30},
     publisher = {mathdoc},
     number = {8},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2015_8_a9/}
}
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A. S. Ivachev. Research of the group of bijective differentiable modulo $p^n$ functions. Prikladnaya Diskretnaya Matematika. Supplement, no. 8 (2015), pp. 27-30. http://geodesic.mathdoc.fr/item/PDMA_2015_8_a9/